Finding the Third Proportional to 12,804 and 19,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,804 : 19,753.50 = 19,753.50 : x
2. Step 2: Convert to fraction form
   12,804/19,753.50 = 19,753.50/x
3. Step 3: Cross multiply
   12,804x = 19,753.50 × 19,753.50
4. Step 4: Simplify right side
   12,804x = 390,200,762.25
5. Step 5: Solve for x
   x = 390,200,762.25/12,804
6. Step 6: Final answer
   x = 30,474.91